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central angle of curvature
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On the basis of thin walled curved bars theory and the variational principle, the equations of equilibrium with considering the shear lag, the bending and torsion (St. Venant and Warping) for thin walled curved box girders are established. The closed form solutions of equations can be derived by means of mathematical method. The theoretical formulas obtained are applied to caculate the shear lag effects for straight and curved box girder bridges. The Vlasov's Equation is developed. The variations of shear...

On the basis of thin walled curved bars theory and the variational principle, the equations of equilibrium with considering the shear lag, the bending and torsion (St. Venant and Warping) for thin walled curved box girders are established. The closed form solutions of equations can be derived by means of mathematical method. The theoretical formulas obtained are applied to caculate the shear lag effects for straight and curved box girder bridges. The Vlasov's Equation is developed. The variations of shear lag effect of curved box girder bridge, caused by the change of factors such as the central angle of curvature, the flange width/span ratio, the flange width/web depth ratio, the flange width/thickness ratio, the flange thickness/web thickness ratio and the types of loadings are also discussed. To verify the accuracy and applicability of the present method, comparisons of results for typical numerical examples are given.

以薄壁曲杆理论为基础,运用能量变分原理,建立了薄壁曲箱梁桥剪力滞的弹性控制微分方程,并导出了弯、扭、剪力滞耦合的一般闭合解。所得的计算公式,是对符拉索夫(Vlasov)方程的推广,适合于曲、直箱梁桥的剪滞效应计算。给出了典型的计算实例,并与有限条法数值解作了比较。最后分析了曲率中心角、宽跨比、宽高比、宽厚比、板厚比以及荷载型式等因素对剪滞效应的影响,其结果可对工程设计提供参考

 
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